A 2.0x10^4 kg rocket has a rocket motor that generates….

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To find the rocket's initial upward acceleration, the thrust of 2.7×10^5 N is divided by the rocket's mass of 2.0×10^4 kg, resulting in an acceleration of approximately 13.5 m/s². For part B, the increase in acceleration to 6.0 m/s² at 5000 m indicates that the rocket has burned fuel, which can be calculated using the thrust and the new mass. The correct approach involves applying Newton's second law and accounting for the change in mass due to fuel consumption. Clarification on the calculation steps is needed to resolve the incorrect solutions previously attempted.
Cb8
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Homework Statement
A 2.0x104 kg rocket has a rocket motor that
generates 2.7×105 N of thrust.
A) What is the rocket's initial upward acceleration in m/s^2.

B) At an altitude of 5000 m the rocket's acceleration has
increased to 6.0 m/s?. What mass of fuel has it
burned in kg.
Relevant Equations
2.0x10^4 kg Rocket
2.7x10^5 N of thrust
I tried A with the solution of 9.73 and 8.69 both wrong.
 
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Cb8 said:
Homework Statement:: A 2.0x104 kg rocket has a rocket motor that
generates 2.7×105 N of thrust.
A) What is the rocket's initial upward acceleration in m/s^2.

B) At an altitude of 5000 m the rocket's acceleration has
increased to 6.0 m/s?. What mass of fuel has it
burned in kg.
Relevant Equations:: 2.0x10^4 kg Rocket
2.7x10^5 N of thrust

I tried A with the solution of 9.73 and 8.69 both wrong.
Please explain how you arrived at those solutions.
 
Thread 'Correct statement about size of wire to produce larger extension'
The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...

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